122773370688864 has 288 divisors, whose sum is σ = 412177476372480. Its totient is φ = 33922437120000.

The previous prime is 122773370688853. The next prime is 122773370688889. The reversal of 122773370688864 is 468886073377221.

122773370688864 is a `hidden beast` number, since 1 + 227 + 7 + 337 + 0 + 6 + 8 + 8 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×122773370688864² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 122773370688792 and 122773370688801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87359739 + ... + 88753989.

It is an arithmetic number, because the mean of its divisors is an integer number (1431171792960).

Almost surely, 2^{122773370688864} is an apocalyptic number.

122773370688864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122773370688864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206088738186240).

122773370688864 is an abundant number, since it is smaller than the sum of its proper divisors (289404105683616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122773370688864 is a wasteful number, since it uses less digits than its factorization.

122773370688864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395714 (or 1395703 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 122773370688864 in words is "one hundred twenty-two trillion, seven hundred seventy-three billion, three hundred seventy million, six hundred eighty-eight thousand, eight hundred sixty-four".